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What ia the shortest mathematical proof?

One of the shortest mathematical proofs published in an article is this

This proof refutes a well-known conjecture, made by the great mathematician Leonhard Euler, who had been unanswered for almost 200 years.

According to the conjecture, for n>2 , the minimum quantity of nth powers of integers such that their sum is also nth power of an integer is n.

With the help of a super computer, the authors of the article, L.J. Lander and J.D.Swift managed to find a counterexample: they found four integers whose sum of their fifth powers is also a fifth power!

This is a good example of how computers have slightly changed the way of doing math.